离散型Lurie控制系统绝对稳定的充分必要条件
Necessary and Sufficient Conditions for the Absolute Stability of Discrete Type Lurie Control System
-
摘要: 本文研究了离散型Lurie控制系统(1)在非线性函数f(σ)满足f(0)=0,σf(σ)>0(σ≠0)(2)或f(0)=0,0≤k1≤f(σ)/σ≤k2<+∞(σ≠0)(3)时,零解的绝对稳定性。给出了系统(1)在满足条件(2)时零解绝对稳定的构造性充要条件,并得到了系统(1)的简化系统在满足条件(3)时,绝对稳定的充分及充要判据。Abstract: In this paper. it is discussed that the absolute for zero solution of the discrete type Lurie control system in which the nonlinear function f(σ) satisfying conditions follows f(0)=0,σf(σ)>0(σ≠0)(2) or f(0)=0,0≤k1≤f(σ)/σ≤k2<+∞(σ≠0)(3) It gives the necessary and sufficient conditions for the absolute stability for system(1) under conditions(2).We also obtain the sufficient for absolute stability of the simplified system of(1) under conditions(3).
-
Key words:
- discrete type /
- absolute stability /
- necessary and sufficientcondition /
- Lune problem
-
[1] A,M.Letov,Stability of Nonl inear Con trot S ystems门955)(in R ussian);English transl.of 1st.ed.,Princeton University Press,Princeton(1961). [2] 舒仲周,稼运动稳定性》,西南交通大学出版社,成都(1989). [3] 廖晓听.《稳定性的数学理论与应用争,华中师范大学出版社,武汉(1988). [4] 秦元勋等,《运动稳定性理论与应用》,科学出版社,北京(1981). [5] 朱思铭,直接控制系统的绝对稳定性准则,中山大学学报,(3)(1979),20-28. [6] 谢惠民,一类三阶控制系统绝对稳定性的充分必要条件.中国科学(A),(9)(1981),1165-1175. [7] 张继业、舒仲周,直接控制系统绝对稳定的充要性准则,应用数学和力学,15(3)(1994),245-251. [8] 裘晓钢、舒仲周,控制系统第二标准型的绝对稳定性准则,应用数学和力学,7(9)(1988),785-800. [9] 廖晓听,论离散型Луръе控制系统绝对稳定的充要条件,数学年刊,10(A)(5)(1989),628-635. [10] Lj.T.Grujic and D,D,Siljak,E gponential stability of large-scale direct systems,Int,J.Control.,19(3)(1974),481-491. [11] 肖淑贤,离散型月Луръе控制系统的降维原理和应用,华中理工大学学报,20(增刊)(1992),97-101. [12] Chen Chitsong,Linear System Theory,and Design,2nd,Holt,Rinehart and Winston,New York(1984). [13] J,P.La Salle,The Stability of Dynamical Systems,SIAM,Philadelphia(1976). [14] 李森林,几类直接控制系统绝对稳定的充分及必要条件,应用数学学报,6(4)(1983),458-467.
计量
- 文章访问数: 2825
- HTML全文浏览量: 150
- PDF下载量: 543
- 被引次数: 0